Generalized symmetrization in enveloping algebras

DOI10.1007/BF01235941zbMath0964.17007OpenAlexW2026698923MaRDI QIDQ1377356

Grigori Olshanski

Publication date: 27 March 1999

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01235941

zbMATH Keywords

centeruniversal enveloping algebrabasissymmetric algebraadjoint representationgeneralized symmetrizationlinear isomorphismssymmetrizations defined by power series

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35)

Related Items (1)

Casimir elements from the Brauer-Schur-Weyl duality

Cites Work

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• Quantum Berezinian and the classical Capelli identity
• The Capelli identity, the double commutant theorem, and multiplicity-free actions
• Capelli identities for classical Lie algebras
• Noncommutative symmetric functions and Laplace operators for classical Lie algebras
• Quantum immanants and higher Capelli identities
• Partitions into Even and Odd Block Size and Some Unusual Characters of the Symmetric Groups
• Sklyanin determinant, Laplace operators, and characteristic identities for classical Lie algebras
• On the Poincaré-Birkhoff-Witt theorem

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